Notes Payable, Net - Principal Payments on Notes Payable (Parenthetical) (Detail) $ in Millions	12 Months Ended
	Aug. 31, 2023 USD ($)
2024 Convertible Senior Notes
Debt Instrument [Line Items]
Debt instrument redemption description	The repayment of the $47.7 million of 2024 Convertible Notes due February 2024 and the $373.8 million of 2028 Convertible Notes due April 2028 is assumed to occur at the scheduled maturity instead of assuming an earlier conversion by the holders.
February 2024 Convertible Senior Notes
Debt Instrument [Line Items]
Convertible senior notes	$ 47.7
April 2028 Convertible Senior Notes
Debt Instrument [Line Items]
Convertible senior notes	$ 373.8